I will study the Kodaira dimension of $A_g$, i.e., the moduli space of principally polarized Abelian $g$-folds, and of $X_g^n$, i.e., the space of Kuga $n$-fold varieties on these spaces. I will then ...
The Langlands program is a set of conjectures, proved in special cases, about profound connections between different areas of mathematics. One of them being the theory of automorphic forms. I will giv...
The aim of this talk is to provide an overview of recent results, obtained jointly with Graziano Crasta and Virginia De Cicco, regarding the chain rule for the distributional divergence of composite f...
Una giornata in memoria di Chiara Simeoni.Relatori:Mehmet ERSOY (Université de Toulon, France)Paola GOATIN (INRIA Centre, Université Côte d’Azur, France)Hatem ZAAG (Université Sorbonne Paris Nord, Fra...
A quadric bundle is a flat projective morphism every fiber of which is isomorphic to a quadric hypersurface. I will talk about the operations of hyperbolic reduction and
hyperbolic extension, inducing...
In this talk I will discuss a notion of s-fractional mass for 1-currents in high codimension. Such a notion generalizes the notion of s-fractional perimeter for sets in the plane to higher-codimension...
La divulgazione scientifica contemporanea è spesso dominata da narrazioni che hanno poco a che fare con la pratica quotidiana della ricerca scientifica e privilegiano invece aspetti sensazionalistici ...
We study Fokker-Planck operators arising in the population density approach to networks of spiking neuron models, where a neuronal ensemble is described by a probability density evolving under drift–d...
The Rosenzweig-Porter (RP) model has recently gained a lot of attention as a paradigmatic (toy) model for studying localisation/delocalisation transitions.
In this talk, we report on a joint work wit...
The Space of Kahler potentials H (which has infinite dimension) can be thought as the limit of finite dimensional (!) symmetric spaces. This is known as Kähler quantization. In this talk we will take ...
A classical result due to Clebsch from the mid-nineteenth century confirms that every complex space sextic curve (given as an intersection of a quadric and a cubic surface in projective 3-space) has e...
Nonlocal energies, such as fractional Sobolev seminorms, arise naturally in mathematical models involving long-range interactions. In this talk, we study minimizers of such energies that vanish on a c...